B2. Consider the differential equation: dy = (4 - y)(y+ 2) dx a) Provide the general...

 

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B2. Consider the differential equation: dy = (4 - y)(y+ 2) dx a) Provide the general solution to this differential equation. b) Use Euler's method to approximate the solution for t e [0,1] with y(-1) = 0 and h = 0.05. c) On the same axes, sketch both the actual solution and Euler's approximation for the conditions %3D of part b. B2. Consider the differential equation: dy = (4 - y)(y+ 2) dx a) Provide the general solution to this differential equation. b) Use Euler's method to approximate the solution for t e [0,1] with y(-1) = 0 and h = 0.05. c) On the same axes, sketch both the actual solution and Euler's approximation for the conditions %3D of part b.